Differential Geometry

[1] Free boundary minimal surfaces in the unit ball : recent advances and open questions

Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10006

arXiv preprint arXiv:1907.05053, 2019.7
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[2] Min-max theory for free boundary minimal hypersurfaces II: general Morse index bounds and applications

Qiang Guang Australian National University Martin Man-chun Li Chinese University of Hong Kong Zhichao Wang Max-Planck Institute for Mathematics Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10005

arXiv preprint arXiv:1907.12064, 2019.7
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[3] A maximum principle for free boundary minimal varieties of arbitrary codimension

Martin Man-chun Li Chinese University of Hong Kong Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10004

arXiv preprint arXiv:1708.05001, 2017.5
[ Download ] [ 2020-01-03 16:39:49 uploaded by Martin_Man_chun_Li ] [ 39 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[4] Curvature estimates for stable free boundary minimal hypersurfaces

Qiang Guang University of California Santa Barbara Martin Man-chun Li Chinese University of Hong Kong Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10003

Journal für die reine und angewandte Mathematik, 2018.5
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[5] A general existence theorem of embedded minimal surfaces with free boundary

Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10002

Communications on Pure and Applied Mathematics, 68, (2), 286-331, 2015.2
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[6] Compactness of the space of embedded minimal surfaces with free boundary in three-manifolds with nonnegative Ricci curvature and convex boundary

Martin Man-chun Li Chinese University of Hong Kong Ailana Fraser University of British Columbia

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10001

Journal of Differential Geometry, 96, (2), 183-200, 2014
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[7] The rigidity theorems of self shrinkers via Gauss maps

Qi Ding Fudan University Yuanlong Xin Fudan University Ling Yang Fudan University

Differential Geometry mathscidoc:1912.10004

Advances in Mathematics, 303, (5), 151-174, 2016
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[8] Subsequent singularities of mean convex mean curvature flows in smooth manifolds

Qi Ding Fudan University

Differential Geometry mathscidoc:1912.10003

Calc. Var. Partial Differential Equations, 55, (1), 1-12, 2016
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[9] Existence and non-existence of area-minimizing hypersurfaces in manifolds of non-negative Ricci curvature

Qi Ding Fudan University J. Jost Max Planck Institute for Mathematics in the Sciences Yuanlong Xin Fudan University

Differential Geometry mathscidoc:1912.10002

Amer. J. Math., 138, (2), 287-327, 2016
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[10] Minimal graphic functions on manifolds of non-negative Ricci curvature

Qi Ding Fudan University J. Jost Max Planck Institute for Mathematics in the Sciences Yuanlong Xin Fudan University

Differential Geometry mathscidoc:1912.10001

Comm. Pure Appl. Math., 69, (2), 323-371, 2016
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[11] The Lp-Alekesandrov problem for Lp-integral curvature

Yong Huang Hunan university Erwin Lutwak New York University Deane Yang New York University Gaoyong Zhang New York University

Differential Geometry mathscidoc:1911.10001

J. Differential Geom., 110, (1), 1-29, 2018
[ Download ] [ 2019-11-25 14:11:44 uploaded by YHuang ] [ 32 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[12] Instability of spherical naked singularities of a scalar field under gravitational perturbations

Junbin Li Sun Yat-sen University Jue Liu Sun Yat-sen University

Analysis of PDEs Differential Geometry mathscidoc:1911.03002

2018
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[13] On the local extension of the future null infinity

Junbin Li Sun Yat-sen University Xiping Zhu Sun Yat-sen University

Differential Geometry mathscidoc:1911.43007

j. differential geometry, 110, 73-133, 2018
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[14] A discrete uniformization theorem for polyhedral surfaces

Xianfeng Gu Stony Brook University Feng Luo Rutgers University Jian Sun Nanjing Foreign Language School Tianqi Wu New York University

Differential Geometry Convex and Discrete Geometry mathscidoc:1911.03001

j. differential geometry, 109, (2), 223-256, 2018
[ Download ] [ 2019-11-21 17:14:15 uploaded by Tianqi_Wu ] [ 29 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[15] A new complete Calabi-Yau metric on C^3

Yang Li Institute for Advanced Study

Differential Geometry TBD mathscidoc:1911.43003

Inventiones mathematicae, 207, 1-34, 2019.7
[ Download ] [ 2019-11-12 22:45:38 uploaded by YangLi ] [ 44 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[16] Chord shortening flow and a theorem of Lusternik and Schnirelmann

Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1910.43019

Pacific Journal of Mathematics, 299, (2), 469-488, 2019.5
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[17] On complete stable minimal surfaces in 4-manifolds with positive isotropic curvature

Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry mathscidoc:1910.43018

Proceedings of the American Mathematical Society, 140, (8), 2843-2854, 2012
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[18] Free boundary minimal surfaces in the unit three-ball via desingularization of the critical catenoid and the equatorial disk

Nikolaos Kapouleas Brown University Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1910.43015

arXiv preprint arXiv:1709.08556, 2017.9
[ Download ] [ 2019-10-20 10:57:25 uploaded by Martin_Man_chun_Li ] [ 29 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[19] A sharp comparison theorem for compact manifolds with mean convex boundary

Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry mathscidoc:1910.43014

The Journal of Geometric Analysis, 24, (3), 1490-1496, 2014.7
[ Download ] [ 2019-10-20 10:57:09 uploaded by Martin_Man_chun_Li ] [ 26 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[20] Min-max theory for free boundary minimal hypersurfaces I-regularity theory

Martin Man-chun Li Chinese University of Hong Kong Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1910.43013

arXiv preprint arXiv:1611.02612, 2016.11
[ Download ] [ 2019-10-20 10:56:34 uploaded by Martin_Man_chun_Li ] [ 30 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[21] Equidistribution of minimal hypersurfaces for generic metrics

Fernando Coda Maques Princeton University Andre Neves University of Chicago Antoine Song University of California, Berkeley

Differential Geometry mathscidoc:1909.10003

Inventiones Mathematicae, 2018
[ Download ] [ 2019-09-29 14:24:21 uploaded by antoinesong ] [ 62 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[22] Dirac spectral flow on contact three manifolds II: Thurston--Winkelnkemper contact forms

Chung-Jun Tsai NTU

Differential Geometry mathscidoc:1909.10002

[ Download ] [ 2019-09-05 13:55:29 uploaded by CJTsai ] [ 54 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[23] Dirac spectral flow on contact three manifolds I: eigensection estimates and spectral asymmetry

Chung-Jun Tsai NTU

Differential Geometry mathscidoc:1909.10001

[ Download ] [ 2019-09-05 13:53:41 uploaded by CJTsai ] [ 66 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[24] Self-similar solutions of curvature flows in warped products

Shanze Gao Tsinghua University Hui Ma Tsinghua University

Differential Geometry mathscidoc:1908.10015

Differential Geom. Appl., 62, 234–252, 2019
[ Download ] [ 2019-08-28 12:33:53 uploaded by Laxpair ] [ 34 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[25] An Energy functional for Lagrangian tori in $\mathbb{C}P^2$

Hui Ma Tsinghua University Andrey Mironov Novosibirsk State University Dafeng Zuo University of Science and Technology of China

Differential Geometry mathscidoc:1908.10014

Ann Glob Anal Geom, 53, 583-595, 2018
[ Download ] [ 2019-08-28 11:08:40 uploaded by Laxpair ] [ 50 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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